Yes, you could probably get approved for term life insurance coverage, even if you are not currently employed.
Remember, some people have money saved to pay for monthly expenses, in case they are unemployed for a period of time.
Or, you could have someone else pay the premiums until you get another job and can afford to pay for the life insurance.
If you do get a job, you may have group term life insurance coverage provided with your benefits plan.
Also, you could wait until you are employed again, and then apply for life insurance. But, if you health changes, you may find the coverage is not very affordable, or you may find you are uninsurable at that time.
But, you can apply for term life insurance coverage now, and it's very likely you will qualify for term life insurance.